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Finding the Fourth Proportional to 865.66, 1,298.46 and 216.39

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Solution

The fourth proportional to 865.66, 1,298.46 and 216.39 is: 324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.66 : 1,298.46 = 216.39 : x
  2. Step 2: Convert to fraction form
    865.66/1,298.46 = 216.39/x
  3. Step 3: Cross multiply
    865.66x = 1,298.46 × 216.39
  4. Step 4: Simplify right side
    865.66x = 280,974.57
  5. Step 5: Solve for x
    x = 280,974.57/865.66
  6. Step 6: Final answer
    x = 324.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.